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4879224 = 233372461
BaseRepresentation
bin10010100111001101111000
3100011220001000
4102213031320
52222113344
6252325000
756321100
oct22471570
910156030
104879224
112832919
121773760
13101ab1c
14910200
15665a69
hex4a7378

4879224 has 96 divisors (see below), whose sum is σ = 15800400. Its totient is φ = 1391040.

The previous prime is 4879223. The next prime is 4879261. The reversal of 4879224 is 4229784.

4879224 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4879223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10354 + ... + 10814.

Almost surely, 24879224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4879224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7900200).

4879224 is an abundant number, since it is smaller than the sum of its proper divisors (10921176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4879224 is a wasteful number, since it uses less digits than its factorization.

4879224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 473 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 4879224 is about 2208.8965571072. The cubic root of 4879224 is about 169.6095305846.

The spelling of 4879224 in words is "four million, eight hundred seventy-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 461 504 588 756 882 922 1176 1323 1383 1512 1764 1844 2646 2766 3227 3528 3688 4149 5292 5532 6454 8298 9681 10584 11064 12447 12908 16596 19362 22589 24894 25816 29043 33192 38724 45178 49788 58086 67767 77448 87129 90356 99576 116172 135534 174258 180712 203301 232344 271068 348516 406602 542136 609903 697032 813204 1219806 1626408 2439612 4879224